There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln({3}^{(\frac{7x}{2})})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln({3}^{(\frac{7}{2}x)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln({3}^{(\frac{7}{2}x)})\right)}{dx}\\=&\frac{({3}^{(\frac{7}{2}x)}((\frac{7}{2})ln(3) + \frac{(\frac{7}{2}x)(0)}{(3)}))}{({3}^{(\frac{7}{2}x)})}\\=&\frac{7ln(3)}{2}\\ \end{split}\end{equation} \]

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